In: Finance
Sheel Inc. has a 6 percent coupon (compounded semiannually) bonds on the market with 16 years to maturity, and the par value of $1,000. At what price should the bonds be selling for if TYM is 5%? Had the bond been selling at $919.50, what should be the YTM (assuming the same coupon, maturity, and par value)? Based on your answers above, what is the relationship between YTM and bond price?
***Please show all work***
K = Nx2 |
Bond Price =∑ [(Semi Annual Coupon)/(1 + YTM/2)^k] + Par value/(1 + YTM/2)^Nx2 |
k=1 |
K =16x2 |
Bond Price =∑ [(6*1000/200)/(1 + 5/200)^k] + 1000/(1 + 5/200)^16x2 |
k=1 |
Bond Price = 1109.25 |
K = Nx2 |
Bond Price =∑ [(Semi Annual Coupon)/(1 + YTM/2)^k] + Par value/(1 + YTM/2)^Nx2 |
k=1 |
K =16x2 |
919.5 =∑ [(6*1000/200)/(1 + YTM/200)^k] + 1000/(1 + YTM/200)^16x2 |
k=1 |
YTM% = 6.84 |
BOnd price is inversely proportional to YTM as can be seen in the equation